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Finding the Fourth Proportional to 302,123.88, 416,925.54 and 167,985

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Solution

The fourth proportional to 302,123.88, 416,925.54 and 167,985 is: 231,816.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,123.88 : 416,925.54 = 167,985 : x
  2. Step 2: Convert to fraction form
    302,123.88/416,925.54 = 167,985/x
  3. Step 3: Cross multiply
    302,123.88x = 416,925.54 × 167,985
  4. Step 4: Simplify right side
    302,123.88x = 70,037,236,836.90
  5. Step 5: Solve for x
    x = 70,037,236,836.90/302,123.88
  6. Step 6: Final answer
    x = 231,816.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.